Fractonic superfluids
Fractonic superfluids
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DOI：
10.1103/physrevresearch.2.023267
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发表时间：
2019-11
期刊：
影响因子：
--
通讯作者：
Jian Yuan;Shuai A. Chen;P. Ye
中科院分区：
文献类型：
--
作者：
Jian Yuan;Shuai A. Chen;P. Ye
我们提出了一个“多分数系”的超流体相，其中电荷和总偶极矩是守恒量。本文对微观模型和长波有效理论进行了分析。我们从第二个量子化微观模型开始，并制定了相干态路径积分表示。在排斥力和正化学势的作用下，我们计算了所得超流体的各种性质，并与常规超流体进行了比较。我们推导出一个高度非线性的欧拉-拉格朗日方程以及两个诺特电流。我们还制定了时间相关的gross - pitaevskii型方程来控制流体动力学行为。我们研究了经典基态波函数、相关的非对角长阶、超流、临界电流和非常规拓扑涡。在远大于相干长度$\xi_{\ mathm {coh}}$的长度尺度上，我们推导出微观模型的有效理论。基于有效理论，我们分析了无间隙Goldstone模式和低温比热容，以及ODLRO在量子涨落下的命运。讨论了Gross-Pitaevskii方程的数值分析、费米子分形、分形超导体和冷原子实验实现等未来研究方向。
We propose a superfluid phase of ``many-fracton system'' in which charge and total dipole moments are conserved quantities. In this work, both microscopic model and long-wavelength effective theory are analyzed. We start with a second quantized microscopic model and formulate the coherent-state path-integral representation. With repulsive interactions and positive chemical potential, we calculate various properties of the resulting superfluid state and make comparison with a conventional superfluid. We deduce a highly nonlinear Euler-Lagrange equation as well as two Noether currents. We also formulate time-dependent Gross-Pitaevskii-type equations that govern hydrodynamical behaviors. We study the classical ground state wavefunction, the associated off-diagonal long range order (ODLRO), supercurrents, critical current, and unconventional topological vortices. At length scale much larger than coherence length $\xi_{\mathrm{coh}}$, we derive the effective theory of our microscopic model. Based on the effective theory, we analyze gapless Goldstone modes and specific heat capacity at low temperatures as well as the fate of ODLRO against quantum fluctuations. Several future directions, e.g., numerical analysis of Gross-Pitaevskii equations, fermionic fractons, fractonic superconductors, and cold-atom experimental realization, are discussed.